An object experiences a constant acceleration of from to and then moves with zero…

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

An object experiences a constant acceleration of +2 m/s2+2\,\text{m/s}^2 from t=0t=0 to t=4 st=4\,\text{s} and then moves with zero acceleration for the next 4 s4\,\text{s}. The object starts from rest at t=0t=0. Which of the following velocity–time graphs best represents the motion? (a) Velocity increases quadratically from 0 m/s0\,\text{m/s} at t=0t=0 to 32 m/s32\,\text{m/s} at t=4 st=4\,\text{s}, and then stays constant at 32 m/s32\,\text{m/s} through t=8 st=8\,\text{s}.},{ (b) Velocity increases linearly from 0 m/s0\,\text{m/s} at t=0t=0 to 8 m/s8\,\text{m/s} at t=4 st=4\,\text{s}, and then remains constant at 8 m/s8\,\text{m/s} until t=8 st=8\,\text{s}.},{ (c) Velocity increases linearly from 0 m/s0\,\text{m/s} at t=0t=0 to 8 m/s8\,\text{m/s} at t=4 st=4\,\text{s}, and then decreases linearly back to 0 m/s0\,\text{m/s} by t=8 st=8\,\text{s}.},{ (d) Velocity increases linearly from 0 m/s0\,\text{m/s} at t=0t=0 to 16 m/s16\,\text{m/s} at t=8 st=8\,\text{s}.} ],

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